arXiv math/93042011993-04-12math.LO

The automorphism group of a saturated model has a large dense free subgroup

Garvin Melles, Saharon Shelah

发表信息：: Bull. London Math. Soc. 26 No. 4 (1994) 339--344

英文摘要：

We prove that for a stable theory $T,$ if $M$ is a saturated model of $T$ of cardinality $λ$ where $λ> \big|T\big|,$ then $Aut(M)$ has a dense free subgroup on $2^λ$ generators. This affirms a conjecture of Hodges.

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